The following three equations are coming from the extended version of the above lagrangian and relate the masses of spin-2 chiral partners:

m22= ma22- h3tenN2,   mK2A2= mK22-2 h3tenNS,   m2,S2=mf2,S2-2 h3tenS2  ,

which leads to \(m_{\rho _2}=1663\)  MeV where we have assumed \(m_{K_{2A}}=m_{K_{2}(1820)}\) . The same assumption in the last term of Eq () implies \(\Gamma (\rho _2\rightarrow a_2(1320))\pi \approx 88\)  MeV which is 200 MeV in [1]}. Our prediction for the mass of \(\rho _2\)  from the spontaneous breaking of the chiral symmetry is near to the prediction in [2]}.
